L^p-theory for the stokes system in 3d domains with conical boundary points
Paul Deuring · Indiana University Mathematics Journal · 1998
This article deals with the Stokes system in 3D interior and exterior domains with conical boundary points.Solutions verifying a Dirichlet or a no-slip boundary condition are shown to exist in suitable L p -spaces.By means of the boundary potential method, this L p -theory is reduced to the Fredholm properties of certain integral operators involving singular integrals on the boundary of the respective domains.